Question

Evaluate \[\int \sec x\tan x\,dx\]

Options

• \[-\text{cosec} x+\mathrm{C}\]

• \[\tan x+\mathrm{C}\]

• \[-\cot x+\mathrm{C}\]

• \[\sec x+\mathrm{C}\]

Answer 1

The derivative of \(\sec x\) is \(\sec x\tan x\). Hence, \(\int \sec x\tan x\,dx=\sec x+\mathrm{C}\).